Add 14/21 and 75/27, Solve 14/21 + 2 21/27 as a fraction

Add 14/21 and 75/27

1^st number: 14/21, 2^nd number: 2 21/27

14/21 + 75/27 is 31/9.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 21 × 9 = 189,
14/21 = 14 × 9/21 × 9 = 126/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189
Add the two like fractions:
126/189 + 525/189 = 126 + 525/189 = 651/189
651/189 simplified gives 31/9
So, 14/21 + 75/27 = 31/9
In mixed form: 34/9

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